分析和PDE讨论班——Stable self-similar blow up dynamics for slightly $L^2$ supercritical generalized KdV equations
主 题: 分析和PDE讨论班——Stable self-similar blow up dynamics for slightly $L^2$ supercritical generalized KdV equations
报告人: 兰洋 (Universite Paris-Sud)
时 间: 2016-10-21 16:00-17:00
地 点: 理科一号楼 1418
We consider the focusing generalized KdV equations with slightly $L^2$ supercritical nonlinearity. We will use the self-similar profile constructed by Koch to prove the existence and stability of a blow up dynamics with self-similar blow up rate in the energy space $H^1$. We will also give a specific description of the formation of singularity near the blow up time.
